920764416 has 240 divisors, whose sum is σ = 2906563968. Its totient is φ = 255590400.

The previous prime is 920764409. The next prime is 920764417. The reversal of 920764416 is 614467029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920764417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7028671 + ... + 7028801.

Almost surely, 2^920764416 is an apocalyptic number.

920764416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453281984).

920764416 is an abundant number, since it is smaller than the sum of its proper divisors (1985799552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920764416 is a wasteful number, since it uses less digits than its factorization.

920764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 920764416 is about 30344.1001843851. The cubic root of 920764416 is about 972.8581221044.

The spelling of 920764416 in words is "nine hundred twenty million, seven hundred sixty-four thousand, four hundred sixteen".